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Simplifying 7x + 3y + 6z + -3x + 5z + -4y = 0 Reorder the terms: 7x + -3x + 3y + -4y + 6z + 5z = 0 Combine like terms: 7x + -3x = 4x 4x + 3y + -4y + 6z + 5z = 0 Combine like terms: 3y + -4y = -1y 4x + -1y + 6z + 5z = 0 Combine like terms: 6z + 5z = 11z 4x + -1y + 11z = 0 Solving 4x + -1y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y + 11z = 0 + y Combine like terms: -1y + y = 0 4x + 0 + 11z = 0 + y 4x + 11z = 0 + y Remove the zero: 4x + 11z = y Add '-11z' to each side of the equation. 4x + 11z + -11z = y + -11z Combine like terms: 11z + -11z = 0 4x + 0 = y + -11z 4x = y + -11z Divide each side by '4'. x = 0.25y + -2.75z Simplifying x = 0.25y + -2.75z
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